BECE 2010 Mathematics (Maths) Past Question Paper One
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1
Which of the following sets is well defined?
- A: {Man, Kofi, Red, 14}
- B: {Ink, Mango, Green, Nail}
- C: {Car, Road, Glass, Book}
- D: {Seth, Mary, Jacob, Evelyn}
2
If set B is a subset of set A, then
- A: sets A and B have the same number of elements
- B: some members of set B can be found in set A
- C: no member of set B is in set A
- D: all the members of set B are in set A
3
The least common multiple (LCM) of 16, 30 and 36 is
- A: 3
- B: 6
- C: 240
- D: 720
4
The sum of 5 and x divided by 4 is equal to 3.25. Find the value of x.
- A: 8
- B: 7
- C:
- D:
5
The numbers 32, 33, 34, …, …, 42 form a sequence in base 5. Find the missing numbers
- A: 35, 36
- B: 30, 31
- C: 40, 41
- D: 31, 41
6
Write down all the integers in the set A = {-10, -4, 0, ¼, 2½, 45, 100}
- A: {-10, -4, 0, 45, 100}
- B: {-10, – 4}
- C: {0, 45,100}
- D: {¼, 2½}
7
Find the total cost of 25 pens and 75 books if each pen costs GH¢ 0.20 and each book costs GH¢ 0.30.
- A: GH¢22.50
- B: GH¢23.50
- C: GH¢27.50
- D: GH¢50.00
8
Simplify – 27 + 18 – (10 – 14) – (-2)
- A: – 3
- B: – 7
- C: – 11
- D: – 35
9
Arrange the following numbers from the lowest to the highest: 0.5, 3, -5, 0.
- A: 0, 0.5, -5, 3
- B: 0, -5, 0.5, 3
- C: -5, 0, 0.5, 3
- D: -5, 0.5, 0, 3
10
Find how many pieces of cloth 5½ m long that can be cut from a roll of cloth 121 m long.
- A: 665½
- B: 115½
- C: 66
- D: 22
11
Find the value of 124.3 + 0.275 + 74.06, correcting your answer to one decimal place.
- A: 198.6
- B: 198.7
- C: 892.0
- D: 892.4
12
Esi and Kwasi are 12 and 8 years old respectively. They share 60 mangoes in the ratio of their ages. How many mangoes does Esi get?
- A: 42
- B: 40
- C: 36
- D: 18
13
It takes 6 students 1 hour to sweep their school compound. How long will it take 15 students to sweep the same compound?
- A: 24 minutes
- B: 12 minutes
- C: 3 hours
- D: 2 hours
14
A housing agent makes a commission of GH¢ 103,500 when he sells a house for GH¢ 690,000. Calculate the percentage of his commission.
- A: 15.0%
- B: 10.0%
- C: 7.5%
- D: 5.0%
15
A simple interest of GH¢ 37,500.00 is earned on an amount of GH¢ 500,000.00 for 3 years. Find the rate of interest per annum.
- A: 20.0%
- B: 10.0%
- C: 5.0%
- D: 2.5%
16
Simplify: (\frac{3}{8}xy^{4}))
- A:
- B:
- C:
- D:
17
The scores of 10 students in an examination are given as follows: 45, 12, 75, 81, 54, 51, 24, 67, 19 and 39. What is the median of the scores?
- A: 39
- B: 48
- C: 51
- D: 54
18
A pie chart is to be drawn from the data in the following table:
| Cassava | 20% |
| Yam | 17% |
| Plantain | 28% |
| Maize | 35% |
What will be the value of the angle of the sector for maize?
- A: 126.0°
- B: 100.8°
- C: 72.0°
- D: 61.2°
19
Eighteen cards are numbered from 11 to 29. If one card is chosen at random, what is the probability that it contains the digit 2?
- A:
- B:
- C:
- D:
20
Find the value of x, if 
+1=5 .
- A: 24
- B: 20
- C: 19
- D: 16
21
Factorize: xy + 5x + 2y + 10
- A: (x + 5)(2y + 10)
- B: (x + 2)(y + 10)
- C: (x + 5)(y + 2)
- D: (x + 2)(y + 5)
22
If x ∈ {2, 3, 4, 5}, find the truth set of 2x + 1 < 8.
- A: {2,3,4}
- B: {2,3}
- C: {3,4}
- D: {4,5}
23
Solve the inequality: 7x – (10x + 3) ≥ – 9
- A: x ≥ 2
- B: x ≤ 4
- C: x ≥ 4
- D: x ≤ 2
24
Find the rule of the mapping:
- A: x→4x-3
- B: x→3-4x
- C: x→4x+3
- D: x→4x+5
25
Find the circumference of a circle whose area is equal to 64 π cm2.
- A: 32 π cm
- B: 16 π cm
- C: 8 π cm
- D: 4 π cm
26
Which of the following geometric figures is the plane shape of a cube?
- A: Circle
- B: Rectangle
- C: Square
- D: Triangle
27
How many lines of symmetry has a rectangle?
- A: 4
- B: 3
- C: 2
- D: 1
28
A rectangular box has length 20 cm, width 6 cm and height 4 cm. Find how many cubes of side 2 cm that will fit into the box.
- A: 120
- B: 60
- C: 30
- D: 15
29
The interior angle of a regular polygon is 120°. How many sides has this polygon?
- A: 3
- B: 4
- C: 5
- D: 6
30
2010 bece math past question triangle In the diagram above, length of PS = length of SQ and angle SQR = 112°. Find the value of x.
- A: 68°
- B: 56°
- C: 46°
- D: 44°
31
XYZ is a right-angled triangle with length of sides as shown.
Which of the following equations gives the value of z2?
- A: z2 = (x2 + y2)
- B: z2 = (x – y)
- C: z2 = (y2 – x2)
- D: z2 = (x2 – y2)
32
Express 7 min. 30 sec. as a percentage of 1 hour.
- A: 2.5%
- B: 7.5%
- C: 11.7%
- D: 12.5%
33
The point (4,5) is translated to the point (3,1). What is the translation vector?
- A:
- B:
- C:
- D:
34
In the diagram below, triangle QRT is the enlargement of QST.
Which side of triangle QRT corresponds to side QT of triangle QST?
- A: TS
- B: TR
- C: QR
- D: SR
35
In the diagrams above Fig. I is an enlargement of Fig. II. Find the side EF of Fig. II
- A: 20 cm
- B: 5 cm
- C: 4 cm
- D: 3 cm
36
Express 4037 in standard form
- A: 4.037 × 10-4
- B: 4.037 × 10-3
- C: 4.037 × 103
- D: 4.037 × 104
37
Which of the following angles can be constructed by using the arcs at point C in the diagram below?
- A: 30°
- B: 45°
- C: 60°
- D: 75°
38
Given that vector a = \left(\begin{array}{c}-5\\ 12\end{array}\right) and b = \left(\begin{array}{c}10x\\ 12\end{array}\right) find the value of x if a = b.
- A: -2
- B: – ½
- C: ½
- D: 2
39
In the diagram above, the bearing of point B from A is
- A: 340°
- B: 220°
- C: 140°
- D: 50°
40
Ama is 9 years older than Kwame. If Kwame is 18 years old, find the ratio of the age of Kwame to that of Ama.
- A: 3 : 2
- B: 1 : 3
- C: 2 : 3
- D: 2 : 1
End Of Paper
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